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Boundary and finite-size effects in small magnetic systems

Author

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  • Kachkachi, H.
  • Garanin, D.A.

Abstract

We study the effect of free boundaries in finite magnetic systems of cubic shape on the field and temperature dependence of the magnetisation within the isotropic model of D-component spin vectors in the limit D→∞. This model is described by a closed system of equations and captures the Goldstone-mode effects such as global rotation of the magnetic moment and spin-wave fluctuations. We have obtained an exact relation between the intrinsic (short-range) magnetisation M=M(H,T) of the system and the induced magnetisation m=m(H,T) which is induced by the field. We have shown, analytically at low temperatures and fields and numerically in a wide range of these parameters, that boundary effects leading to the decrease of M with respect to the bulk value are stronger than the finite-size effects rendering a positive contribution to M. The inhomogeneities of the magnetisation caused by the boundaries are long ranged and extend far into the depth of the system.

Suggested Citation

  • Kachkachi, H. & Garanin, D.A., 2001. "Boundary and finite-size effects in small magnetic systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 300(3), pages 487-504.
    • Handle: RePEc:eee:phsmap:v:300:y:2001:i:3:p:487-504
    DOI: 10.1016/S0378-4371(01)00361-2
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